2y-6=3y-12+y

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Solution for 2y-6=3y-12+y equation:


Simplifying
2y + -6 = 3y + -12 + y

Reorder the terms:
-6 + 2y = 3y + -12 + y

Reorder the terms:
-6 + 2y = -12 + 3y + y

Combine like terms: 3y + y = 4y
-6 + 2y = -12 + 4y

Solving
-6 + 2y = -12 + 4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-4y' to each side of the equation.
-6 + 2y + -4y = -12 + 4y + -4y

Combine like terms: 2y + -4y = -2y
-6 + -2y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
-6 + -2y = -12 + 0
-6 + -2y = -12

Add '6' to each side of the equation.
-6 + 6 + -2y = -12 + 6

Combine like terms: -6 + 6 = 0
0 + -2y = -12 + 6
-2y = -12 + 6

Combine like terms: -12 + 6 = -6
-2y = -6

Divide each side by '-2'.
y = 3

Simplifying
y = 3

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